Answer
See below
Work Step by Step
1st step (black graph): The parent function: $y=x^5$
2nd step (green graph): Shrink by a factor of 1/2. $y=\frac{1}{2}x^5$
3rd step (red graph): Translate 2 units down. $y=\frac{1}{2}x^5-2$
Final step (blue graph): Translate 1 unit to the right. $y=\frac{1}{2}(x-1)^5-2$